Abstract
Now we start with a systematic study of cooperative game theory. First, cooperative games with side payments (TU-games, transferable utility games) will be treated, and later, games without side payments, such as bargaining games and NTU-games (non transferable utility games). A survey of solution concepts and axiomatic characterizations will be given. Also attention will be paid to interesting subclasses of games. Applications will be indicated. Cooperative game theory is concerned primarily with coalitions — groups of players — who coordinate their actions and pool their winnings. For each set S of players, υ(S) denotes the amount they can gain if they form a coalition, excluding the other players. One of the problems is how to divide extra earnings (or cost savings) among the members of the formed coalition.
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